Korean J. Math. Vol. 21 No. 3 (2013) pp.311-318
DOI: https://doi.org/10.11568/kjm.2013.21.3.311

A remark on IFP rings

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Mathematics Subject Classification:
16U80, 16N40

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Chang Hyeok Lee
Pusan Science High School
Hyo Jin Lim
Pusan Science High School
Jae Hyoung Park
Pusan Science High School
Jung Hyun Kim
Pusan Science High School
Jung Soo Kim
Pusan Science High School
Min Joon Jeong
Pusan Science High School
Min Kyung Song
Pusan Science High School
Si Hwan Kim
Pusan Science High School
Su Min Hwang
Pusan Science High School
Tae Kang Eom
Pusan Science High School
Min Jung Lee
Department of Mathematics Education Pusan National University
Yang Lee
Department of Mathematics Education Pusan National University
Sung Ju Ryu
Department of Mathematics Pusan National University

Abstract

We continue the study of power-Armendariz rings over IFP rings, introducing $k$-power Armendariz rings as a generalization of power-Armendariz rings. Han et al. showed that IFP rings are 1-power Armendariz. We prove that IFP rings are 2-power Armendariz. We moreover study a relationship between IFP rings and $k$-power Armendariz rings under a condition related to nilpotency of coefficients.



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